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How do you simplify √150 ÷ √3?

Answer 1

Julia Adams

#=color(blue)(5sqrt2#

Prime factorising: #sqrt150 = sqrt(3*5*2*5)#

#=5sqrt6#

Now: #sqrt150/sqrt3 = (5sqrt6)/sqrt3#

#sqrt 6 =sqrt2 * sqrt3#

So, # (5sqrt6)/sqrt3 = (5cancelsqrt3*sqrt2)/cancelsqrt3#

#=color(blue)(5sqrt2#

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Answer 2

Nathan Axel

To simplify √150 ÷ √3, you can rationalize the denominator by multiplying both the numerator and denominator by √3. This gives you (√150 ÷ √3) * (√3 / √3) = (√(1503)) / 3 = (√450) / 3. Simplifying further, (√450) can be written as (√(2252)), which simplifies to (15√2). Therefore, the simplified form of √150 ÷ √3 is (15√2) / 3.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.